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Dynamical complexity and controlled operator K-theory / Erik Guentner, Rufus Willett & G. Yu

By: Contributor(s): Resource type: Ressourcentyp: BuchBookLanguage: English Series: Astérisque ; 451 (2024)Publisher: Paris : Société Mathématique de France, [2024]Description: 89 SeitenISBN:
  • 9782379052026
Other title:
  • Complexité dynamique et K-théorie contrôlée
Subject(s): Additional physical formats: No title | Erscheint auch als: Dynamical complexity and controlled operator K-Theory. Online-Ausgabe Paris : Société Mathématique de France, 2024MSC: MSC: 46L85 | 19K35 | 58B34 | 37B99 | 22A22RVK: RVK: SI 832LOC classification:
  • QA612.33
Summary: Publisher’s description: In this paper, we introduce a property of topological dynamical systems that we call finite dynamical complexity. For systems with this property, one can in principle compute the K-theory of the associated crossed product C∗-algebra by splitting it up into simpler pieces and using the methods of controlled K-theory. The main part of the paper illustrates this idea by giving a new proof of the Baum-Connes conjecture for actions with finite dynamical complexity. We have tried to keep the paper as self-contained as possible: we hope the main part will be accessible to someone with the equivalent of a first course in operator K-theory. In particular, we do not assume prior knowledge of controlled K-theory, and use a new and concrete model for the Baum-Connes conjecture with coefficients that requires no bivariant K-theory to set up.PPN: PPN: 1903095271
Holdings
Item type Home library Shelving location Call number Status Barcode
Freihandbestand ausleihbar Fachbibliothek Mathematik Bibliothek / frei aufgestellt Z 533-451.2024 Available 36549680090
Total holds: 0

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